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recsinterpinit

recsinterpinit Prepares an interpolation structure for RECS INTERP = recsinterpinit(N,SMIN,SMAX) creates a structure of interpolation in which N designates the order of approximation (if scalar, the same order is applied for all dimensions), and SMIN and SMAX are size-d vectors of left and right endpoints of the state space. recsinterpinit returns the structure INTERP with the following fields: fspace : a definition structure for the interpolation family Phi : the basis matrix at collocation nodes s : a prod(N)-by-d matrix that represents the state variables on the grid. INTERP = recsinterpinit(N,SMIN,SMAX,METHOD) use the string METHOD to define the interpolation method, either spline ('spli', default), linear interpolation ('lin'), or Chebyshev polynomials ('cheb'). INTERP = recsinterpinit(N,SMIN,SMAX,METHOD,OPTIONS) uses the structure OPTIONS to create the interpolation structure. The fields of the structure are order : for a spline interpolation, it is the order of the spline (default: 3) [INTERP,S] = recsinterpinit(N,SMIN,SMAX,...) returns the prod(N)-by-d matrix S, which represents the state variables on the grid.